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Popular >

|x+7|<= 3

Solution

∣ x + 7 ∣ \leq 3

Solution

- 10 \leq x \leq - 4

+1

Interval Notation

[- 10, - 4]

Solution steps

∣ x + 7 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x + 7 \leq 3

x + 7 \geq - 3 and x + 7 \leq 3

x \geq - 10 and x \leq - 4

Merge Overlapping Intervals

- 10 \leq x \leq - 4

Popular Examples

simplify sqrt(q^9)simplify

q^{9}

simplify 1/2 e^{-8/2}*100 simplify

\frac{1}{2} e^{- \frac{8}{2}} \cdot 100

8x(x-4)<2(4x-1)(x-5)

8 x (x - 4) < 2 (4 x - 1) (x - 5)

z=((1+i)/(sqrt(2)))^4

z = (\frac{1 + i}{2})^{4}

x - 12 = 14

Frequently Asked Questions (FAQ)

What is |x+7|<= 3 ?
The solution to |x+7|<= 3 is -10<= x<=-4